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Suitable Heat Transfer Model for Self-Similar Laminar Boundary Layer in Power Law Fluids
引用本文:Liancun ZHENG Xinxin ZHANG Jicheng HE Department of Mathematics and Mechanics,University of Science and Technology Beijing,Beijing 100083,China,Mechanical Engineering School,University of Science and Technology Beijing,Beijing 100083,China,Thermal Engineering Department,Northeastern University,Shenyang 110006,China. Suitable Heat Transfer Model for Self-Similar Laminar Boundary Layer in Power Law Fluids[J]. 热科学学报(英文版), 2004, 13(2): 150-154. DOI: 10.1007/s11630-004-0024-5
作者姓名:Liancun ZHENG Xinxin ZHANG Jicheng HE Department of Mathematics and Mechanics  University of Science and Technology Beijing  Beijing 100083  China  Mechanical Engineering School  University of Science and Technology Beijing  Beijing 100083  China  Thermal Engineering Department  Northeastern University  Shenyang 110006  China
作者单位:Liancun ZHENG Xinxin ZHANG Jicheng HE Department of Mathematics and Mechanics,University of Science and Technology Beijing,Beijing 100083,China,Mechanical Engineering School,University of Science and Technology Beijing,Beijing 100083,China,Thermal Engineering Department,Northeastern University,Shenyang 110006,China
摘    要:
The classical power law non-Newtonian fluids energy boundary layer equation is proved improper to describe the self-similar heat transfer. A theoretical analysis for momentum and energy boundary layer transfer behavior is made and the full similarity heat boundary layer equation is developed, which may be characterized by a power law relationship between shear stress and velocity gradient with the Falkner-Skan equation as a special case. Both analytical and numerical solutions are presented for momentum and energy boundary layer equations by using the similarity transformation and shooting technique and the associated transfer characteristics are discussed.


Suitable heat transfer model for self-similar laminar boundary layer in power law fluids
Liancun Zheng,Xinxin Zhang,Jicheng He. Suitable heat transfer model for self-similar laminar boundary layer in power law fluids[J]. Journal of Thermal Science, 2004, 13(2): 150-154. DOI: 10.1007/s11630-004-0024-5
Authors:Liancun Zheng  Xinxin Zhang  Jicheng He
Affiliation:(1) Department of Mathematics and Mechanics, University of Science and Technology Beijing, 100083 Beijing, China;(2) Mechanical Engineering School, University of Science and Technology Beijing, 100083 Beijing, China;(3) Thermal Engineering Department, Northeastern University, 110006 Shenyang, China
Abstract:
The classical power law non-Newtonian fluids energy boundary layer equation is proved improper to describe the self-similar heat transfer. A theoretical analysis for momentum and energy boundary layer transfer behavior is made and the full similarity heat boundary layer equation is developed, which may be characterized by a power law relationship between shear stress and velocity gradient with the Falkner-Skan equation as a special case. Both analytical and numerical solutions are presented for momentum and energy boundary layer equations by using the similarity transformation and shooting technique and the associated transfer characteristics are discussed.
Keywords:Power law fluid   boundary layer   heat transfer   similarity solutions.
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